Answered

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Name the remainder for the quotient and describe or show how you found theremainder.(23 - 22 – 17x – 15) = (2x – 5)

Name The Remainder For The Quotient And Describe Or Show How You Found Theremainder23 22 17x 15 2x 5 class=

Sagot :

Here, dividend is

[tex]f(x)=x^3-x^2-17x-15[/tex]

Divisor is (x-5).

Let the quotient be Q(x) and teh remainder be R(x).

By the divison algorithm,

[tex]x^3-x^2-17x-15=(x-5)Q(x)+R(x)[/tex]

Now,

[tex]\begin{gathered} f(5)=125-25-85-15 \\ =0 \end{gathered}[/tex]

Therefore, there is no remainder by the division algorithm.

Quotient is

[tex]x^2+4x+3[/tex]

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